Irreversible Aspects of Continuum Mechanics and Transfer of Physical Characteristics in Moving Fluids: Symposia Vienna, June 22–28, 1966

435 Pages·1968·11.325 MB·English

by  J. D. Achenbach, S. M. Vogel, G. Herrmann (auth.), Prof. H. Parkus, Prof. L. I. Sedov (eds.)

INTERNATIONAL UNION OF THEORETICAL
AND APPLIED MECHANICS
IRREVERSIBLE ASPECTS
OF CONTINUUM MECHANICS
AND
TRANSFER OF PHYSICAL
CHARACTERISTICS IN MOVING FLUIDS
SYMPOSIA VIENNA, JUNE 22-28,1966
EDITORS
H. PARKUS L. I. SEDOV
VIENNA MOSCOW
WITH 87 FIGURES
1968
SPRINGER-VERLAG
NEW YORK
All rights reserved
No part of this book may be translated or reproduced in any form
without written permission from Springer-Verlag
© 1968 by Springer -Ve rlag/Wien
Softcover reprint of the hardcover 1st edition 1968
Library of Congress Catalog Card Number 68-11180
ISBN 978-3-7091-5583-7 ISBN 978-3-7091-5581-3 (eBook)
DOl 10.1007/978-3-7091-5581-3
Title No. 9217
Preface
At its meeting on April 23, 1965 in Paris the Bureau of IUTAM
decided to have a Symposium on the Irreversible Aspects of Continaum
Mechanics held in June 1966 in Vienna. In addition, a Symposium on
the Transfer of Physical Characteristics in Moving Fluids which, orig
inally, had been scheduled to take place in Stockholm was rescheduled
to be held in Vienna immediately following the Symposium on the Irre
versible Aspects of Continuum Mechanics. It was felt that the subjects
of the two symposia were so closely related that participants should be
given an opportunity to attend both.
Both decisions were unanimously approved by the members of the
General Assembly of IUTAM. Prof. H. PARKUS, Vienna, was appointed
Chairman of the Symposium on the Irreversible Aspects, and Prof.
L. I. SEDOV, Moscow, was appointed Chairman of the Symposium on
the Transfer of Physical Characteristics, with Prof. P ARKUS being re
sponsible for the local organization of both symposia.
In accordance with the policy set forth by IUTAM, membership
of the Symposia was limited and by invitation only. Financial support
for covering the costs of organization and for a partial defrayal of the
accomodation and traveling expenses of the participants was provided
by IUTAM and by the Austrian Ministry of Education.
The Scientific Committee of the Symposium on the Irreversible
Aspects of Continuum Mechanics consisted of the following members:
Prof. H. P ARKUS, Vienna, Chairman
Prof. S. R. DE GROOT, Amsterdam
Prof. F. K. G. ODQVIST, Stockholm
Prof. W. OLSZAK, Warsaw
Prof. W. PRAGER, Providence, R. I.
Prof. M. RoY, Paris
Prof. L I. SEDOV, Moscow
Prof. H. ZIEGLER, Zurich
(Prof. DE GROOT was unable to attend the Symposium
The primary purpose of the Symposium was to bring together leading
scientists from the fields of Continuum Mechanics and Thermodynamics.
Of these two fields which, in the past, have developed more or less inde
IV Preface
pendently Continuum Mechanics has now reached a stage where further
progress appears impossible without the inclusion of thermodynamic
concepts. Emphasis was on the basic concepts in both fields, and not on
applications. 23 papers were presented. Discussions were unusually
lively and highly fruitful. Although unification of the two main schools
of thought still seems to be a matter of the distant future, considerable
progress has been made at the Symposium towards closing the gap.
The Scientific Committee of the Symposium on the Transfer of
Physical Characteristics in Moving Fluids consisted of
Pro£. L. I. SEDOV, Moscow, Chairman
Prof. H. P ARKUS, Vienna, Vice-Chairman
Prof. S. B. BERNDT, Stockholm
Prof. S. R. DE GROOT, Amsterdam
Prof. H. W. LIEPMANN, Pasadena
Prof. M. J. LIGHTHILL, London
Prof. M. Roy, Paris
A free and sapid discussion followed the presentation of the papers.
Vienna and Moscow, September 1967
H. Parkus, L. I. Sedov
Sessions
Wednesday, June 22,1966
Chairman: B. R. SETH
L. 1. SEDOV: Variational methods of constructing models of continuous media.
D. C. DRUCKER: On the continuum as an assemblage of homogeneous elements or
states.
Chairman: U. UHLHORN
H. ZIEGLER: A possible generalization of Onsager's theory.
C. TRUESDELL: Thermodynamics for beginners.
Chairman: P. M. NAGHDI
B. D. COLEMAN1: Thermodynamics and wave propagation in non-linear materials
with memory.
W. OLSZAK 2: On thermodynamics of the differential type material.
S. KALISKI: Cerenkov generation of thermal waves for the wave equations of thermo
clectro-magneto-elasticity.
Thursday, June 23, 1966
Chairman: J. HULT
E. T. ONAT: The notion of state and its implications in thermodynamics of in
elastic solids.
J. MEIXNER: TIP has many faces.
Chairman: G. A. KLUITENBERG
J. F. BESSELING: A thermodynamic approach to rheology.
Chairman: A. M. FREUDENTHAL
M. REINER: The influence of dissipated stresswork on the rupture of materials.
J. KESTIN: On the application of the principles of thermodynamics to strained solid
materials.
R. S. RIVLIN3: Generalized continuum mechanics.
Friday, June 24, 1966
Chairman: D. C. DRUCKER
W. PRAGER: Composite stress-strain relations for elastoplastic solids.
E. H. LEE4: Finite strain elastic-plastic theory.
1 Jointly with M. E. GURTIN.
2 Jointly with P. PERZYNA.
3 Jointly with A. E. GREEN.
4 Jointly with D. T. Lru.
VI Sessions
Chairman: J. KESTIN
P. M. NAGHDl1: A thermodynamic development of elastic.plastic continua.
G. S. SHAPIRO: On conditions of yielding and fracture for viscoelastic.plastic
bodies.
Chairman: S. KALISKI
A. M. FREUDENTHAL 2 : Accumulation of second-order strain in workhardening
media.
W. NOWACKI: Couple-stresses in the theory of thermoelasticity.
G. HERRMANN3: On stress waves in viscoelastic media conducting heat.
Saturday, June 25, 1966
Chairman: E. H. LEE
Yu. N. RABOTNOV: Kinetics of creep and creep rupture.
U. UHLHORN: Thermomechanics of a continuous system with internal structure.
J. HULT: Phenomenological aspects of creep irreversibility.
Monday, June 27, 1966
Chairman: S. B. BERNDT
B. R. SETH: Irreversible transition in continuum mechanics.
Yu. P. LUNKIN: Vibrational dissociation relaxation in a multicomponent mixture
of viscous heat-conducting gases.
Chairman: N. FROSSLING
V. N. NIKOLAEVSKII: Transfer phenomena in fluid-saturated porous media.
TUe8day, June 28, 1966
Chairman: M. J. LIGHTHlLL
F. N. FRENKIEL4: Joint probability density distributions in a turbulent flow.
J. ZEMANEK: Die Beeinflussung der Intensitat des Transportprozesses durch das
dynamische Verhalten der Phasengrenze Fliissigkeit-Gas oder Fliissigkeit
Dampf.
1 Jointly with A. E. GREEN.
2 Jointly with MARIA RONAY.
3 Jointly with J. D. ACHENBACH and S. M. VOGEL.
<I Jointly with P. S. KLEBANOFF.
List of Participants
ADOMEIT, Dr. G., Rheinisch·WesWilische Technische Hochschule Aachen, Templer.
graben 55, D·51 Aachen, Germany.
AXELRAD, Dr. D. R, Department of Mechanical Engineering, McGill University,
Montreal 2, Canada.
BECKERS, Dr. H. L., Koninklijke Shell.Laboratorium, Amsterdam·N, The Nether·
lands.
BEDNARCZYK, Dr. H., Technische Hochschule vVien, Karlsplatz 13, A·I040 Wien,
Austria.
BELlK, Docent Ing. L., CSc., Spojovaci 5, Plzen, a.S.S.R
BERNDT, Prof. S. B., Kungliga Tekniska Hiigskolan, Stockholm 70, Sweden.
BESSELING, Prof. J. F., Technische Hogeschool Delft, Mekelweg 2, Delft, The
Netherlands.
BRUN, Prof. L., Laboratoire de Mecanique des Solides, Ecole Polyt echnique, 17 Rue
Descartes, Paris Ve, France.
COLEMAN, Prof. B. D., Mellon Institute, 4400 Fifth Avenue, Pittsburgh, Pa. 15213,
U.S.A.
DEVILLEZ, Ing. C., Ecole Polyt echnique, Faculte des Sciences Appliqm\es, Univer·
site Libre de Bruxelles, Bruxelles, Belgium.
DRUCKER, Prof. D. C., Division of Engineering, Brown University, Providence,
R 1. 02912, U. S. A.
FENZ, EDITH, Technische Hochschule Wien, Karlsplatz 13, A·1040 Wien, Austria.
FINZI, Prof. L., Istituto di Scienza delle Costruzioni della Facolta di Architettura,
Politecnico Milano, Milano, Italy.
'Y ..
FISZDON, Prof. Polskiej Akademii Nauk, uL Swi~tokrzyska 21, Warszawa,
Poland.
FRANK, Dr. W., Bundesministerium fUr Bauten und Technik, Stubenring 1, A·I01O
Wien, Austria.
FRENKIEL, Prof. F. N., Applied Mathematics Laboratory, David Taylor Model
Basin, Washington, D. C. 20007, U. S. A.
FREUDENTHAL, Prof. A. M., Department of Civil Engineering and Engineering
Mechanics, Columbia University, New York, N. Y. 10027, U. S. A.
FROSSLING, Prof. N., The Institute of Applied Thermo· and Fluid Dynamics, Chal·
mers University of Technology, Gibraltargatan 5 M, Gothenburg S, Sweden.
GRIOLI, Prof. G., Seminario Matematico, Universita di Padova, Padova, Italy.
HERRMANN, Prof. G., The Technological Institute, Northwestern University,
Evanston, IlL 60201, U. S. A.
HERRNEGGER, F., Institut fur Theoretische Physik, Universitat Innsbruck, A·6020
Innsbruck, Austria.
VIII List of Participants
HULT, Prof. J., Division of Strength of Materials, Chalmers University of Technol
ogy, Gibraltargatan 5 M, Gothenburg S, Sweden.
KALISKI, Prof. S., Polskiej Akademii Nauk, ui. Swi~tokrzyska 21, Warszawa,
Poland.
KESTIN, Prof. J., Division of Engineering, Brown University, Providence, R. 1.
02912, U. S. A.
KLUITENBERG, Dr. G. A., Technische Hogeschool te Eindhoven, Insulindelaan 2,
Eindhoven, The Netherlands.
KOlTER, Prof. W. T., Technische Hogeschool Delft, Mekelweg 2, Delft, The Nether
lands.
KRONER, Prof. E., Institut fiir Theoretische Physik, Bergakademie Clausthal,
D-3392 Clausthal-Zellerfeld, Germany.
LEE, Prof. E. H., Division of Engineering Mechanics, Stanford University, Stan
ford, Calif. 94305, U. S. A.
LIGHTHILL, Prof. M. J., Imperial College of Science and Technology, University
of London, South Kensington, London S. W. 7, England.
LUN'KIN, Prof. Yu. P., c/o Prof. G. K. MIKHAILOV, U. S. S. R. National Committee
on Theoretical and Applied Mechanics, Leningrad Avenue 7, Moscow A-40,
U. S. S. R.
MAIER, Prof. G., Istituto di Scienza delle Costruzioni della Facolta di Architettura,
Politecnico Milano, Milano, Italy.
MANDL, Dr. G., Volmerlaan 6, Rijswijk Z. H., The Netherlands.
MAZUR, Prof. P., Instituut Lorentz, Steenschuur, Leiden, The Netherlands.
MEIXNER, Prof. J., Institut fUr Theoretische Physik, Rheinisch-WesWilische
Technische Hochschule Aachen, Templergraben 55, D-51 Aachen, Germany.
MIKHAILOV, Prof. G. K., U. S. S. R. National Committee on Theoretical and Ap
plied Mechanics, Leningrad Avenue 7, Moscow A-40, U. S. S. R.
MULLER, Dr. 1., Institut fiir Theoretische Physik, Rheinisch-Westfalische Tech
nische Hochschule Aachen, Templergraben 55, D-51 Aachen, "Germany.
NAGHDI, Prof. P. M., Division of Applied Mechanics, Room 6141, Etcheverry Hall,
University of California, Berkeley, Calif. 94720, U. S. A.
NIKOLAEVSKII, Prof. V. N., Institute of Physics of the Earth, U. S. S. R. Academy
of Sciences, Boi. Gruzinskaya 10, Moscow G-242, U. S. S. R.
NIORDSON, Prof. F. 1., Department of Applied Mechanics, The Technical University
of Denmark, Rigensgade 13, Copenhagen K, Denmark.
NOWACKI, Prof. 'V., Polskiej Akademii Nauk, ui. Swi~tokrzyska 21, Warszawa,
Poland.
ODQVIST, Prof. F. K. G., The Royal Institute of Technology, Stockholm 70, Sweden_
OLESIAK, Prof. Z., ui. F. Joliot Curie 7 m. 24, \Varszawa 87, Poland.
OLSZAK, Prof. W., Polskiej Akademii Nauk, ui. Swi~tokrzyska 21, \Varszawa,
Poland.
ONAT, Prof. E. T., Yale University, \Vinchester Hall, 15 Prospect Street, New
Haven, Conn. 06520, U. S. A.
PARKUS, Prof. H., Technische Hochschule Wien, Karlsplatz 13, A-1040 Wien,
Austria.
PERZYNA, Doz. Dr. P., Polskiej Akademii Nauk, ui. Swi~tokrzyska 21, Warszawa,
Poland.
PLOCHOCKI, Doz. Dr. Z., Polskiej Akademii Nauk, ul. Swi~tokrzyska 21, Warszawa,
Poland.
List of Partioipants IX
PRAGER, Prof. W., Department of the Aerospaoe and Meohanioal Engineering Soi
ences, P. O. Box 109, University of California, La Jolla, Calif. 92037, U. S. A.
PREVRATIL, Ing. R., Department of Meohanios, Slovak Teohnioal University,
Tolsreho 1, Bratislava, C. S. S. R.
RABOTNOV, Prof. Yu. N., Institute of Mathematios and Meohanios, Mosoow State
University, Mosoow B-234, U. S. S. R.
RADENKOVIC, Prof. D., Laboratoire de Meoanique des Solides, Eoole Polyteohnique,
17 Rue Desoartes, Paris Ve, France.
REINER, Prof. M., Technion - Israel Institute of Technology, Haifa, Israel.
RIMROTT, Prof. F. P. J., Department of Mechanioal Engineering, University of
Toronto, Toronto 5, Canada.
RIVLlN, Prof. R. S., Center for the Application of Mathematics, Lehigh University,
Bethlehem, Pa. 18015, U. S. A.
Roy, Prof. M., 55 Boulevard Malesherbes, Paris VIlle, Franoe.
SAVE, Prof. M., Departement de Mecanique, Faculre Polyt echnique de Mons, Rue
de Houdain, Mons, Belgium.
SAVIN, Prof. G. N., Institute of Mechanics, Academy of Sciences of the Ukrainian
S. S. R., ul. Chkalora-55b, Kiev, U. S. S. R.
SCHWARZL, Dr. F. R., Centraal Laboratorium t. n. 0., Postbox 217, Delft, The
Netherlands.
SEDOV, Prof. L. I., U. S. S. R. National Committee on Theoretical and Applied
Mechanics, Leningrad Avenue 7, Moscow A-40, U. S. S. R.
SETH, Prof. B. R., Dibrugarh University, Dibrugarh, Assam, India.
SHAPIRO, Prof. G. S., Institute of Mechanics, U. S. S. R. Academy of Soienoes,
Leningrad Avenue 7, Mosoow A-40, U. S. S. R.
TANI, Prof. I., Institute of Spaoe and Aeronautical Scienoe, University of Tokyo,
Komaba, Meguro-ku, Tokyo, Japan.
THOMANN, Dr. H., The Aeronautioal Research Institute of Sweden (FFA), Brom
ma 11, Sweden. .
TORRE, Dr. C., Bundesministerium fiir Landesverteidigung, A-1024 Wien, Austria.
TRUESDELL, Prof. C., The Johns Hopkins University, Baltimore, Md. 21218,
U.S.A.
UHLHORN, Prof. U., Tekniska Hogskolan i Lund, Lund, Sweden.
ZEMAN, Dr. J. L., Teohnisohe Hoohsohule Wien, Karlsplatz 13, A-1040 Wien,
Austria.
ZEMANEK, Dipl. Ing. J., CSo., SVUSS Staatliohes Forsohungsinstitut fiir Masohinen
bau, Bechovioe-Prag, C. S. S. R.
ZIEGLER, Dr. F., Teohnisohe Hoohsohule Wien, Karlsplatz 13, A-1040 Wien,
Austria.
ZIEGLER, Prof. H., Eidgenossisohe Teohnisohe Hoohsohule, ZUrioh, Switzerland.
Contents
Page
ACHENBACH, J. D., S. M. VOGEL and G. HERRMANN: On Stress Waves in Visco-
elastic Media Conducting Heat . . . . . . . . . . . . . . . . . .. 1
BESSELlNG, J. F.: A Thermodynamic Approach to Rheology (With 1 Figure) 16
COLEMAN, B. D., and M. E. GURTIN: Thermodynamics and Wave Propagation
in Non-Linear Materials with Memory . . . . . . . . . . . . . . . . 54
DRUCKER, D. C.: On the Continuum as an Assemblage of Homogeneous Ele
ments or States (With 9 Figures) . . . . . . . . . . . . . . . . . . 77
FRENKIEL, F. N., and P. S. KLEBANOFF: Joint Probability Density Distribu
tions in a Turbulent Flow . . . . . . . . . . . . . . . . . . . . . 94
FREUDENTHAL, A. M., and MARIA RONAY: Accumulation of Second-Order Strain
in Workhardening Media (With 24 Figures) . . . . . . . . . . . . . . 97
GREEN, A. E., and P. M. NAGHDI: A Thermodynamic Development of Elastic-
Plastic Continua. . . . . . . . . . . . . . . . . . . . . . . . . . 117
GREEN, A. E., and R. S. RIVLIN: Generalized Continuum Mechanics 132
HULT, J.: Phenomenological Aspects of Creep Irreversibility (With 10 Figures) 146
KALISKI, S.: Cerenkov Generation of Thermal Waves for the Wave Equations
of Thermo-Electro-Magneto-Elasticity . . . . . . . . . . . . . . .. . 159
KESTIN, J.: On the Application of the Principles of Thermodynamics to Strain-
ed Solid Materials (With 15 Figures) ................. 177
LEE, E. H., and D. T. Lru: Finite Strain Elastic-Plastic Theory (With 2 Fig-
ures) ............................... 213
LIGHTHILL, M. J.: Application of Variational Methods in the N on-Linear Theory
of Dispersive Wave Propagation .................. 223
LUNKIN, Yu. P.: Vibrational Dissociation Relaxation in a MuIticomponent
Mixture of Viscous Heat-Conducting Gases (With 6 Figures) ...... 229
MEIXNER, J.: TIP Has Many Faces. . . . . . . . . . . . . . . . . . . 237
NmOLAEVSKII, V. N.: Transfer Phenomena in Fluid-Saturated Porous Media 250
NOWACKI, W.: Couple-Stresses in the Theory of Thermoelasticity ...... 259
OLSZAK, W., and P. PERZYNA: On Thermodynamics of the Differential Type
Material . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 279
ONAT, E. T.: The Notion of State and Its Implications in Thermodynamics of
Inelastic Solids . . . . . . . . . . . . . . . . . . . . . . . . . . 292
PRAGER, W.: Composite Stress-Strain Relations for Elastoplastic Solids (With
6 Figures) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 315
RABOTNov, Yu. N.: Kinetics of Creep and Creep Rupture ......... 326
REINER, M.: The Influence of Dissipated Stresswork on the Rupture of Mate-
rials (With 3 Figures) . . . . . . . . . . . . . . . . . . . . . . . 335